Combining Texts

All the ideas for 'fragments/reports', 'Mathematics and the Metaphysicians' and 'On Multiplying Entities'

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9 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor

8207	The quest for simplicity drove scientists to posit new entities, such as molecules in gases [Quine]

8208	In arithmetic, ratios, negatives, irrationals and imaginaries were created in order to generalise [Quine]

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox

7557	To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

10059

In mathematic we are ignorant of both subject-matter and truth [Russell]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite

7556	A collection is infinite if you can remove some terms without diminishing its number [Russell]

7. Existence / B. Change in Existence / 4. Events / c. Reduction of events

8205	Explaining events just by bodies can't explain two events identical in space-time [Quine]

10. Modality / A. Necessity / 11. Denial of Necessity

8206	Necessity could be just generalisation over classes, or (maybe) quantifying over possibilia [Quine]

12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence

7554	Self-evidence is often a mere will-o'-the-wisp [Russell]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]